D. A. Burgess - Author Profile

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Burgess, D. A.

Author ID:	burgess.d-a
Published as:	Burgess, D. A.
External Links:	MGP

Documents Indexed:	38 Publications since 1957
	1 Further Contribution
Co-Authors:	1 Co-Author with 1 Joint Publication
	26 Co-Co-Authors

all top 5

Co-Authors

33	single-authored
1	Brackbill, Jeremiah U.
1	Elliott, Peter D. T. A.
1	Foster, M. R.
1	Guizzo, S.
1	Halberstam, Heini
1	Heilbronn, Hans Arnold
1	Logak, F.
1	Nelson, A. O.
1	Paz-Soldan, C.
1	Pharr, M.
1	Stewart, I. G.
1	Sulsky, Deborah L.
1	Tanveer, Saleh

all top 5

Serials

6	Proceedings of the London Mathematical Society. Third Series
5	Mathematika
4	Journal of the London Mathematical Society. Second Series
4	Journal of the London Mathematical Society
3	Acta Arithmetica
3	Bulletin of the London Mathematical Society
2	Physics of Fluids, A
1	Computer Physics Communications
1	Journal of Computational Physics
1	Glasgow Mathematical Journal
1	Journal für die Reine und Angewandte Mathematik
1	Proceedings of the Edinburgh Mathematical Society. Series II
1	Studia Scientiarum Mathematicarum Hungarica
1	Det Kongelige Norske Videnskabers Selskabs Forhandlinger
1	Proceedings of the Steklov Institute of Mathematics

Fields

30	Number theory (11-XX)
3	Fluid mechanics (76-XX)
2	Partial differential equations (35-XX)
1	Numerical analysis (65-XX)
1	Mechanics of deformable solids (74-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

32 Publications have been cited 576 times in 379 Documents	Cited by ▼	Year ▼
On character sums and L-series. II. Zbl 0123.04404 Burgess, D. A.	143	1963
On character sums and primitive roots. Zbl 0106.04003 Burgess, D. A.	113	1962
The distribution of quadratic residues and non-residues. Zbl 0081.27101 Burgess, D. A.	78	1957
On character sums and \(L\)-series. Zbl 0106.04004 Burgess, D. A.	73	1962
Mass matrix formulation of the FLIP particle-in-cell method. Zbl 0761.73117 Burgess, D.; Sulsky, D.; Brackbill, J. U.	47	1992
The character sum estimate with \(r=3\). Zbl 0593.10033 Burgess, D. A.	33	1986
A note on the distribution of residues and non-residues. Zbl 0118.04703 Burgess, D. A.	25	1963
On Dirichlet characters of polynomials. Zbl 0118.04704 Burgess, D. A.	21	1963
Zeta-functions and \(L\)-functions. Zbl 1492.11134 Heilbronn, H.	14	1967
Analysis of the boundary conditions for a Hele-Shaw bubble. Zbl 0703.76086 Burgess, D.; Foster, M. R.	11	1990
Character sums and primitive roots in finite fields. Zbl 0166.05105 Burgess, D. A.	11	1967
Mean values of character sums. Zbl 0595.10028 Burgess, D. A.	9	1986
A problem on semi-groups. Zbl 0186.31303 Burgess, D. A.	8	1969
Partial Gaussian sums. Zbl 0667.10024 Burgess, D. A.	8	1988
Mean values of character sums. II. Zbl 0626.10036 Burgess, D. A.	6	1987
A note on character sums of binary quadratic forms. Zbl 0155.37401 Burgess, D. A.	6	1968
Partial Gaussian sums. II. Zbl 0667.10025 Burgess, D. A.	6	1989
On a conjecture of Norton. Zbl 0258.10018 Burgess, D. A.	6	1975
On the quadratic character of a polynomial. Zbl 0148.02101 Burgess, D. A.	5	1967
The average of the least primitive root. Zbl 0174.08105 Burgess, D. A.; Elliott, P. D. T. A.	5	1968
Infinite stream of Hele-Shaw bubbles. Zbl 0722.76086 Burgess, D.; Tanveer, S.	4	1991
Partial Gaussian sums. III. Zbl 0757.11025 Burgess, D. A.	3	1992
On a set of congruences related to character sums. III. Zbl 0767.11037 Burgess, D. A.	3	1992
The average of the least primitive root modulo \(p^ 2\). Zbl 0224.10048 Burgess, D. A.	3	1971
Estimation of character sums modulo a power of a prime. Zbl 0586.10020 Burgess, D. A.	2	1986
A note on character sums over finite fields. Zbl 0239.10021 Burgess, D. A.	2	1972
Dirichlet characters and polynomials. Zbl 0292.10029 Burgess, D. A.	2	1973
On a set of congruences related to character sums. Zbl 0647.10026 Burgess, D. A.	1	1988
A note on L-functions. Zbl 0123.04501 Burgess, D. A.	1	1964
On the average of character sums for a group of characters. Zbl 0879.11045 Burgess, D. A.	1	1997
Estimating \(L_\chi (1)\). Zbl 0163.03902 Burgess, D. A.	1	1966
Mean values of character sums. III. Zbl 0831.11044 Burgess, D. A.	1	1995
On the average of character sums for a group of characters. Zbl 0879.11045 Burgess, D. A.	1	1997
Mean values of character sums. III. Zbl 0831.11044 Burgess, D. A.	1	1995
Mass matrix formulation of the FLIP particle-in-cell method. Zbl 0761.73117 Burgess, D.; Sulsky, D.; Brackbill, J. U.	47	1992
Partial Gaussian sums. III. Zbl 0757.11025 Burgess, D. A.	3	1992
On a set of congruences related to character sums. III. Zbl 0767.11037 Burgess, D. A.	3	1992
Infinite stream of Hele-Shaw bubbles. Zbl 0722.76086 Burgess, D.; Tanveer, S.	4	1991
Analysis of the boundary conditions for a Hele-Shaw bubble. Zbl 0703.76086 Burgess, D.; Foster, M. R.	11	1990
Partial Gaussian sums. II. Zbl 0667.10025 Burgess, D. A.	6	1989
Partial Gaussian sums. Zbl 0667.10024 Burgess, D. A.	8	1988
On a set of congruences related to character sums. Zbl 0647.10026 Burgess, D. A.	1	1988
Mean values of character sums. II. Zbl 0626.10036 Burgess, D. A.	6	1987
The character sum estimate with \(r=3\). Zbl 0593.10033 Burgess, D. A.	33	1986
Mean values of character sums. Zbl 0595.10028 Burgess, D. A.	9	1986
Estimation of character sums modulo a power of a prime. Zbl 0586.10020 Burgess, D. A.	2	1986
On a conjecture of Norton. Zbl 0258.10018 Burgess, D. A.	6	1975
Dirichlet characters and polynomials. Zbl 0292.10029 Burgess, D. A.	2	1973
A note on character sums over finite fields. Zbl 0239.10021 Burgess, D. A.	2	1972
The average of the least primitive root modulo \(p^ 2\). Zbl 0224.10048 Burgess, D. A.	3	1971
A problem on semi-groups. Zbl 0186.31303 Burgess, D. A.	8	1969
A note on character sums of binary quadratic forms. Zbl 0155.37401 Burgess, D. A.	6	1968
The average of the least primitive root. Zbl 0174.08105 Burgess, D. A.; Elliott, P. D. T. A.	5	1968
Zeta-functions and \(L\)-functions. Zbl 1492.11134 Heilbronn, H.	14	1967
Character sums and primitive roots in finite fields. Zbl 0166.05105 Burgess, D. A.	11	1967
On the quadratic character of a polynomial. Zbl 0148.02101 Burgess, D. A.	5	1967
Estimating \(L_\chi (1)\). Zbl 0163.03902 Burgess, D. A.	1	1966
A note on L-functions. Zbl 0123.04501 Burgess, D. A.	1	1964
On character sums and L-series. II. Zbl 0123.04404 Burgess, D. A.	143	1963
A note on the distribution of residues and non-residues. Zbl 0118.04703 Burgess, D. A.	25	1963
On Dirichlet characters of polynomials. Zbl 0118.04704 Burgess, D. A.	21	1963
On character sums and primitive roots. Zbl 0106.04003 Burgess, D. A.	113	1962
On character sums and \(L\)-series. Zbl 0106.04004 Burgess, D. A.	73	1962
The distribution of quadratic residues and non-residues. Zbl 0081.27101 Burgess, D. A.	78	1957

all cited Publications top 5 cited Publications

all top 5

Cited by 393 Authors

17	Shparlinski, Igor E.
13	Zhang, Wenpeng
11	Michel, Philippe Gabriel
9	Hudson, Richard H.
8	Garaev, Moubariz Z.
8	Kerr, Bryce
7	Friedlander, John Benjamin
7	McGown, Kevin J.
7	Soundararajan, Kannan
6	Blomer, Valentin
6	Cochrane, Todd
6	Granville, Andrew James
6	Heath-Brown, Roger
6	Iwaniec, Henryk
6	Munsch, Marc
6	Pollack, Paul
6	Sawin, William F.
6	Wang, Guoqing
5	Fouvry, Etienne
5	Konyagin, Sergeĭ Vladimirovich
5	Kowalski, Emmanuel
5	Munshi, Ritabrata
5	Pierce, Lillian B.
5	Treviño, Enrique
5	Trudgian, Tim
4	Burgess, D. A.
4	Chang, Mei-Chu
4	Duke, William Drexel
4	Elliott, Peter D. T. A.
4	Goldfeld, Dorian Morris
4	Harcos, Gergely
4	Hinz, Jürgen G.
4	Korolëv, Maksim Aleksandrovich
4	Ma, Rong
4	Rakhmonov, Zarullo Khusenovich
4	Singh, Saurabh Kumar
4	Srichan, Teerapat
4	Winterhof, Arne
4	Xu, Zhefeng
4	Zaharescu, Alexandru
3	Banks, William David
3	Gabdullin, Mikhail R.
3	Khayutin, Ilya
3	Koymans, Peter
3	Laohakosol, Vichian
3	Milovic, Djordjo Z.
3	Montgomery, Hugh Lowell
3	Shkredov, Il’ya Dmitrievich
3	Tangsupphathawat, Pinthira
3	Venkatesh, Akshay
3	Wolke, Dieter
3	Wu, Jie
3	Zhang, Tianping
3	Zhang, Yulong
2	Aggarwal, Keshav
2	Ahn, Jeoung-Hwan
2	Ayyad, Anwar
2	Bordignon, Matteo
2	Bourgain, Jean
2	Bykovskiĭ, Viktor Alekseevich
2	Chung, Fan
2	Clark, Peter Louis
2	Diamond, Harold George
2	Drappeau, Sary
2	Ford, Kevin B.
2	Golubeva, Elena P.
2	Gong, Ke
2	Graham, Ronald Lewis
2	Hoffstein, Jeffrey
2	Huang, Bingrong
2	Huang, Jingjing
2	Kolesnik, Grigoriĭ Abramovich
2	Kumar, Sumit
2	Kwon, Soun-Hi
2	Lamzouri, Youness
2	Larchner, Gerhard
2	Lau, Yuk-Kam
2	Lauter, Kristin Estella
2	Le Boudec, Pierre
2	Liu, Chunlei
2	Luca, Florian
2	Lv, Xingxing
2	Mangerel, Alexander P.
2	Martin, Greg
2	Mazur, Barry
2	Milićević, Djordje
2	Mossinghoff, Michael J.
2	Murata, Leo
2	Murty, Maruti Ram
2	Norton, Karl K.
2	Pan, Xiaowei
2	Pinner, Christopher G.
2	Ramaré, Olivier
2	Richardson, Christophcr J.
2	Shao, Xuancheng
2	Shi, Sanying
2	Shoup, Victor
2	Shusterman, Mark
2	Smith, Ethan
2	Wang, Tingting
...and 293 more Authors

all top 5

Cited in 117 Serials

45	Journal of Number Theory
15	Mathematika
13	Proceedings of the American Mathematical Society
12	Inventiones Mathematicae
12	International Journal of Number Theory
9	Mathematics of Computation
9	Transactions of the American Mathematical Society
9	Annals of Mathematics. Second Series
7	Archiv der Mathematik
7	Finite Fields and their Applications
6	Mathematical Proceedings of the Cambridge Philosophical Society
6	Duke Mathematical Journal
6	Functiones et Approximatio. Commentarii Mathematici
6	Mathematische Zeitschrift
6	Algebra & Number Theory
5	Mathematical Notes
5	Acta Arithmetica
5	Compositio Mathematica
5	Journal of the London Mathematical Society. Second Series
5	Journal de Théorie des Nombres de Bordeaux
5	The Ramanujan Journal
5	Journal of Inequalities and Applications
4	Bulletin of the London Mathematical Society
4	Manuscripta Mathematica
4	Monatshefte für Mathematik
4	Forum Mathematicum
4	Doklady Mathematics
4	Acta Mathematica Sinica. English Series
4	Proceedings of the Steklov Institute of Mathematics
4	Science China. Mathematics
4	Research in Number Theory
3	Annales de l’Institut Fourier
3	Czechoslovak Mathematical Journal
3	Journal of Soviet Mathematics
3	Mathematische Annalen
3	Theoretical Computer Science
3	Journal of the American Mathematical Society
3	SIAM Journal on Discrete Mathematics
3	Geometric and Functional Analysis. GAFA
3	Bulletin of the American Mathematical Society. New Series
3	Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3	Journal of the European Mathematical Society (JEMS)
3	Chebyshevskiĭ Sbornik
3	AIMS Mathematics
2	Bulletin of the Australian Mathematical Society
2	Discrete Mathematics
2	Indian Journal of Pure & Applied Mathematics
2	Information Processing Letters
2	Israel Journal of Mathematics
2	Moscow University Mathematics Bulletin
2	Advances in Mathematics
2	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2	Canadian Mathematical Bulletin
2	Glasgow Mathematical Journal
2	Mathematica Slovaca
2	Combinatorica
2	Acta Mathematica Sinica. New Series
2	Abstract and Applied Analysis
2	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1	Acta Mathematica Academiae Scientiarum Hungaricae
1	Communications in Algebra
1	Discrete Applied Mathematics
1	Lithuanian Mathematical Journal
1	Arkiv för Matematik
1	Beiträge zur Algebra und Geometrie
1	Acta Mathematica
1	Applied Mathematics and Computation
1	BIT
1	Colloquium Mathematicum
1	Publications Mathématiques
1	Journal of Approximation Theory
1	Journal of Combinatorial Theory. Series A
1	Journal of Computer and System Sciences
1	Journal of Functional Analysis
1	Journal of Graph Theory
1	Journal für die Reine und Angewandte Mathematik
1	Memoirs of the American Mathematical Society
1	Michigan Mathematical Journal
1	Nagoya Mathematical Journal
1	Pacific Journal of Mathematics
1	Proceedings of the Japan Academy. Series A
1	Proceedings of the London Mathematical Society. Third Series
1	Quaestiones Mathematicae
1	Rendiconti del Circolo Matemàtico di Palermo. Serie II
1	Tôhoku Mathematical Journal. Second Series
1	Topology and its Applications
1	Journal of Information & Optimization Sciences
1	Acta Mathematica Hungarica
1	Revista Matemática Iberoamericana
1	The Journal of Geometric Analysis
1	Indagationes Mathematicae. New Series
1	Experimental Mathematics
1	The Journal of Analysis
1	Journal of Mathematical Sciences (New York)
1	LMS Journal of Computation and Mathematics
1	Integers
1	Comptes Rendus. Mathématique. Académie des Sciences, Paris
1	JP Journal of Algebra, Number Theory and Applications
1	Advances in Difference Equations
1	Oberwolfach Reports
...and 17 more Serials

all top 5

Cited in 24 Fields

362	Number theory (11-XX)
16	Combinatorics (05-XX)
16	Algebraic geometry (14-XX)
11	Group theory and generalizations (20-XX)
10	Computer science (68-XX)
6	Information and communication theory, circuits (94-XX)
4	Commutative algebra (13-XX)
4	Dynamical systems and ergodic theory (37-XX)
3	Field theory and polynomials (12-XX)
3	Linear and multilinear algebra; matrix theory (15-XX)
3	Probability theory and stochastic processes (60-XX)
2	General and overarching topics; collections (00-XX)
2	Topological groups, Lie groups (22-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
2	Manifolds and cell complexes (57-XX)
1	Mathematical logic and foundations (03-XX)
1	Functions of a complex variable (30-XX)
1	Special functions (33-XX)
1	Approximations and expansions (41-XX)
1	Functional analysis (46-XX)
1	General topology (54-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Numerical analysis (65-XX)
1	Quantum theory (81-XX)

Burgess, D. A.

Co-Authors

Serials

Fields

Publications by Year

Citations contained in zbMATH Open

Cited by 393 Authors

Cited in 117 Serials

Cited in 24 Fields

Citations by Year